Rigidity of branching microstructures in shape memory alloys
From MaRDI portal
Publication:2043050
DOI10.1007/s00205-021-01679-8zbMath1468.74048arXiv1705.03664OpenAlexW3166660104MaRDI QIDQ2043050
Publication date: 22 July 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03664
energy functionalweak limitbounded energy sequencecubic-to-tetragonal transformationmartensite strainnon-convex differential inclusion
Energy minimization in equilibrium problems in solid mechanics (74G65) Analysis of microstructure in solids (74N15) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (5)
On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation ⋮ On the energy scaling behaviour of singular perturbation models with prescribed dirichlet data involving higher order laminates ⋮ Energy scaling laws for microstructures: from helimagnets to martensites ⋮ Quantitative Aspects of the Rigidity of Branching Microstructures in Shape Memory Alloys via H-Measures ⋮ Asymptotic self-similarity of minimizers and local bounds in a model of shape-memory alloys
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A rigidity result for a reduced model of a cubic-to-orthorhombic phase transition in the geometrically linear theory of elasticity
- The cubic-to-orthorhombic phase transition: rigidity and non-rigidity properties in the linear theory of elasticity
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Comparison of the geometrically nonlinear and linear theories of martensitic transformation
- Linear \(\Gamma \)-limits of multiwell energies in nonlinear elasticity theory
- Fine phase mixtures as minimizers of energy
- The relaxation of a double-well energy
- Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials
- Degree theory of BMO. I: Compact manifolds without boundaries
- The influence of surface energy on stress-free microstructures in shape memory alloys
- Non-laminate microstructures in monoclinic-I martensite
- Convex integration with constraints and applications to phase transitions and partial differential equations
- Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
- Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions
- On multiwell Liouville theorems in higher dimension
- A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy
- Multiwell Rigidity in Nonlinear Elasticity
- A Two Well Liouville Theorem
- A rigidity result for a perturbation of the geometrically linear three‐well problem
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- Functions of Vanishing Mean Oscillation
- Surface energy and microstructure in coherent phase transitions
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation
- Rigidity and gamma convergence for solid‐solid phase transitions with SO(2) invariance
This page was built for publication: Rigidity of branching microstructures in shape memory alloys
